Find the slope of the line that passes through (4, 10) and (2, 1).

slope =

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 10) and (x₂, y₂ ) = (2, 1)

m = = =

The slope of the line is -

Step-by-step explanation:

Given:

Two points are (4,10) and (2,1)

To find:

The slope of the line passes though the points

Formula to be used:

Let "m" be the slope of the points (,) and () respectively,

We all be aware of the slope formula that,

m =

Now,

The slope m =

= =

Thus the slope obtained is

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°